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Finding the Fourth Proportional to 10,060.90, 13,880.82 and 5,811.40

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Solution

The fourth proportional to 10,060.90, 13,880.82 and 5,811.40 is: 8,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.90 : 13,880.82 = 5,811.40 : x
  2. Step 2: Convert to fraction form
    10,060.90/13,880.82 = 5,811.40/x
  3. Step 3: Cross multiply
    10,060.90x = 13,880.82 × 5,811.40
  4. Step 4: Simplify right side
    10,060.90x = 80,666,997.35
  5. Step 5: Solve for x
    x = 80,666,997.35/10,060.90
  6. Step 6: Final answer
    x = 8,017.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.